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Simplifying -4(3n + 3) + 4(10 + -4n) = -7n + 7n Reorder the terms: -4(3 + 3n) + 4(10 + -4n) = -7n + 7n (3 * -4 + 3n * -4) + 4(10 + -4n) = -7n + 7n (-12 + -12n) + 4(10 + -4n) = -7n + 7n -12 + -12n + (10 * 4 + -4n * 4) = -7n + 7n -12 + -12n + (40 + -16n) = -7n + 7n Reorder the terms: -12 + 40 + -12n + -16n = -7n + 7n Combine like terms: -12 + 40 = 28 28 + -12n + -16n = -7n + 7n Combine like terms: -12n + -16n = -28n 28 + -28n = -7n + 7n Combine like terms: -7n + 7n = 0 28 + -28n = 0 Solving 28 + -28n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -28n = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -28n = 0 + -28 -28n = 0 + -28 Combine like terms: 0 + -28 = -28 -28n = -28 Divide each side by '-28'. n = 1 Simplifying n = 1
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